Kant's Prolegomena to Any Future MetaphysicsKant, Immanuel
PhilosophyPhilosophy
Kant's Prolegomena to Any Future Metaphysics
Kant, Immanuel
Knowledge, Theory of -- Early works to 1800; Metaphysics -- Early works to 1800
But we must distinguish the empirical laws of nature, which always
presuppose particular perceptions, from the pure or universal laws of
nature, which, without being based on particular perceptions, contain
merely the conditions of their necessary union in experience. In
relation to the latter, nature and possible experience are quite the
same, and as the conformity to law here depends upon the necessary
connexion of appearances in experience (without which we cannot
cognise any object whatever in the sensible world), consequently upon
the original laws of the understanding, it seems at first strange, but
is not the less certain, to say:
The understanding does not derive its laws (a priori) from, but
prescribes them to, nature.
§ 37. We shall illustrate this seemingly bold proposition by an
example, which will show, that laws, which we discover in objects of
sensuous intuition (especially when these laws are cognised as
necessary), are commonly held by us to be such as have been placed
there by the understanding, in spite of their being similar in all
points to the laws of nature, which we ascribe to experience.
§ 38. If we consider the properties of the circle, by which this
figure combines so many arbitrary determinations of space in itself,
at once in a universal rule, we cannot avoid attributing a
constitution (eine Natur) to this geometrical thing. Two right lines,
for example, which intersect one another and the circle, howsoever
they may be drawn, are always divided so that the rectangle
constructed with the segments of the one is equal to that constructed
with the segments of the other. The question now is: Does this law lie
in the circle or in the understanding, that is, Does this figure,
independently of the understanding, contain in itself the ground of
the law, or does the understanding, having constructed according to
its concepts (according to the quality of the radii) the figure
itself, introduce into it this law of the chords cutting one another
in geometrical proportion? When we follow the proofs of this law, we
soon perceive, that it can only be derived from the condition on which
the understanding founds the construction of this figure, and which is
that of the equality of the radii. But, if we enlarge this concept, to
pursue further the unity of various properties of geometrical figures
under common laws, and consider the circle as a conic section, which
of course is subject to the same fundamental conditions of
construction as other conic sections, we shall find that all the
chords which intersect within the ellipse, parabola, and hyperbola,
always intersect so that the rectangles of their segments are not
indeed equal, but always bear a constant ratio to one another. If we
proceed still farther, to the fundamental laws of physical astronomy,
we find a physical law of reciprocal attraction diffused over all
material nature, the rule of which is: "that it decreases inversely as
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